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How do I fill an array with unique random numbers in different rows/columns

I've looked around quite a bit now but cant seem to find a satisfying answer. I would like to fill a 5x5 with unique numbers. In column 1 it can only be a number between 1-5 and in column 2 number 16-30 and so on up until column 5 with a number between 61-75. Its a bingo board. I've tried a couple of things but none of them works, I cant seem to find a way of filling the arrays with my specifications. Everywhere I look it's only examples of prefilled arrays with a few numbers or the code is way to advanced for me.

I created a program a while ago that creates an regular array with the numbers 1-75 and then shuffles it with fisher/yates algorithm. Is this something i should continue to use or should I start from the scratch? enter code here

 static void Main(string[] args)
{
    string choise = "";
    while (choise != "q" && choise != "Q")
    {

        Console.Clear();
        Console.WriteLine("[1] for a random row of numbers! \n[2] to start the game! 
        \n[Q] to quit! \nPress enter after your selection.");
        choise = Console.ReadLine();
        if (choise == "1")
        {
            RandomNum.randomTal();
        }

  (another class)
  static  Random rnd = new Random();
   public static void Shuffle<T>(T[] array)
    {
        Console.Clear();

        for (int i = 0; i < array.Length; i++)
        {
            int r = i + (int)(rnd.NextDouble() * (array.Length - i));
            T t = array[r];
            array[r] = array[i];
            array[i] = t;
        }
    }

(and another class)

class RandomNum
  {
    public static void randomTal()
    {
        int[] sifferArray = Enumerable.Range(1, 56).ToArray();
        shuffle.Shuffle(sifferArray);
        foreach (var item in sifferArray)
        {
            Console.WriteLine(item);

        }
        Console.WriteLine("Press any key to go back.");
        Console.ReadKey();
    }
static void Main(string[] args)
    {
        var bingoCard = getBingoCard();
        int colNum = 1;

        foreach (var col in bingoCard)
        {
            Console.Write("col" + colNum.ToString() + " ");
            foreach (var item in col)
            {
                Console.Write(item + " ");
            }
            Console.WriteLine();
            colNum++;
        }
        Console.WriteLine();

        for (int x = 0; x < 5; x++)
        {
            for (int y = 0; y < 5; y++)
            {
                Console.Write(bingoCard[y][x].ToString() + (bingoCard[y][x] > 9 ?  " " : "  "));
            }
            Console.WriteLine();
        }

        Console.ReadLine();
    }



    public static int[][] getBingoCard()
    {
        var randGen = new Random();
        var bingoCard = new int[][]{
        new int[5],
        new int[5],
        new int[5],
        new int[5],
        new int[5]
    };
        for (int y = 0; y < 5; y++)
        {
            for (int x = 0; x < 5; x++)
            {
                var possibleNumber = randGen.Next((15 * y) + 1, ((y + 1) * 15));
                while (bingoCard[y].Any(num => num == possibleNumber))
                {
                    possibleNumber = randGen.Next((15 * y) + 1, ((y + 1) * 15));
                }
                bingoCard[y][x] = possibleNumber;
            }
        }
        return bingoCard;
    }

When I have a need for that, I use something like this:

   private int[] generatePermutation(int size, int seed) 
   {
        var permutation = new int[size];
        Rnd random = new Rnd(seed);

        List<int> permList = new List<int>(size);
        for (int i = 0; i < size; i++) permList.Add(i);

        for (int i = 0; i < size; i++)
        {
            int index = random.Next(0, permList.Count);
            permutation[i] = permList[index];
            permList.RemoveAt(index);
        }
        return permutation;
    }

If you have a class BingoBoard with an embedded 2d integer array corresponding to the cells, you could generate random patterns of cells like so:

public class BingoBoard
{
    public const int BoardDimension = 5;

    readonly int[,] board = new int[BoardDimension, BoardDimension];

    public BingoBoard()
    {
        // In column 1 it can only be a number between 1-15 and in column 2 number 16-30 and so on up until column 5 with a number between 61-75.
        for (int iRow = 0; iRow < board.GetLength(0); iRow++)
        {
            var col = Enumerable.Range(iRow * 3 * board.GetLength(1) + 1, 3 * board.GetLength(1)).Shuffle().Take(board.GetLength(1)).ToArray();
            for (int iCol = 0; iCol < board.GetLength(1); iCol++)
                board[iRow, iCol] = col[iCol];
        }
    }

    public int[,] Board
    {
        get
        {
            return board;
        }
    }
}

public static class RandomProvider
{
    // Adapted from http://csharpindepth.com/Articles/Chapter12/Random.aspx
    private static int seed = Environment.TickCount;

    [ThreadStatic]
    static Random random;

    public static Random GetThreadRandom()
    {
        if (random == null)
            random = new Random(Interlocked.Increment(ref seed));
        return random;
    }
}

public class FisherYatesShuffle 
{
    public void ShuffleInPlace<T>(T[] array)
    {
        var randomizer = RandomProvider.GetThreadRandom();

        // http://en.wikipedia.org/wiki/Fisher%E2%80%93Yates_shuffle#The_modern_algorithm , second version.
        for (int i = 0; i < array.Length; i++)
        {
            // http://msdn.microsoft.com/en-us/library/2dx6wyd4%28v=vs.110%29.aspx
            var j = randomizer.Next(i, array.Length); // i = inclusive lower bound; array.Length = The exclusive upper bound of the random number returned
            array.Swap(i, j);
        }
    }
}

public static class ListExtensions
{
    public static IEnumerable<T> Shuffle<T>(this IEnumerable<T> list)
    {
        var scrambled = list.ToArray();
        new FisherYatesShuffle().ShuffleInPlace(scrambled);
        return scrambled;
    }

    public static void Swap<T>(this T[] list, int i, int j)
    {
        if (list == null)
            throw new ArgumentNullException();
        if (i != j)
        {
            T temp = list[i];
            list[i] = list[j];
            list[j] = temp;
        }
    }
}

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